The minimum qualifications that are expected from the students who want to attend the course.(Examples: Foreign language level, attendance, known theoretical pre-qualifications, etc.)
Instructor(s)
Professor Erol Balkanay, Assoc. Prof. Neşe Yelkenkaya
Course Assistant(s)
None
Schedule
Will be announced in the forthcoming term.
Office Hour(s)
Prof. Dr. Erol BALKANAY, AK/3-A-15
Teaching Methods and Techniques
-Oral and Written Presentation.
Principle Sources
-Rudolf Lidl & Harald Niederreiter, Finite Fields, Vol.I, Cambridge University Press.
Other Sources
-
Course Schedules
Week
Contents
Learning Methods
1. Week
Polynomials over Finite Fields
Oral and Written Presentation.
2. Week
Polynomials over Finite Fields
Oral and Written Presentation.
3. Week
Construction of Irreducible Polynomials
Oral and Written Presentation.
4. Week
Construction of Irreducible Polynomials
Oral and Written Presentation.
5. Week
Factorization of Polynomials
Oral and Written Presentation.
6. Week
Calculation of Roots of Polynomials
Oral and Written Presentation.
7. Week
Exponential Sums
Oral and Written Presentation.
8. Week
Midterm exam
Midterm exam
9. Week
Exponential Sums
Oral and Written Presentation.
10. Week
Characters
Oral and Written Presentation.
11. Week
12. Week
13. Week
14. Week
15. Week
16. Week
17. Week
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Quizzes
1
10
Final Exam
1
50
Program Outcomes
PO-1
Have scientific research in mathematics and computer science in the level of theoretical and practical knowledge.
PO-2
On the basis of undergraduate level qualifications, develop and deepen the same or a different areas of information at the level of expertise, and analyze and interpret by using statistical methods
PO-3
Develop new strategic approaches for the solution of complex problems encountered in applications related to the field and unforeseen and take responsibility for the solution.
PO-4
Evaluate critically skills acquired in the field of information in the level of expertise and assess the learning guides.
PO-5
Transfer current developments in the field and their work to the groups inside and outside the area supporting with quantitative and qualitative datas as written, verbal and visual by a systematic way.
PO-6
Use information and communication technologies with computer software in advanced level.
PO-7
Develop efficient algorithms by modeling problems faced in the field and solve such problems by using actual programming languages.
PO-8
Respect to social, scientific, cultural and ethical values at the stages of data collection related to the field, interpretation, and implementation.
PO-9
To solve problems related to the field, establish functional interacts by using strategic decision making processes.
PO-10
Establish and discuss in written, oral and visual communication in an advanced level by using at least one foreign language.
Learning Outcomes
LO-1
Have a knowledge about the order of a polynomial, primitive polynomials and polynomials of the highest possible order for a given degree.
LO-2
Construct irreducible polynomials over finite fields.
LO-3
Know some algorithms for the factorization of polynomials over finite fields.
LO-4
Calculate roots of the polynomials.
LO-5
Know exponential sums, Characters and Gaussian sums.
